Question

R(4)= 3000 - 500 * 1.4^4

Answer 1

To evaluate the expression \( R(4) = 3000 - 500 \times 1.4^4 \), we need to calculate \( 1.4^4 \) first.

1. Calculate \( 1.4^4 \):
\[
1.4^4 = (1.4 \times 1.4 \times 1.4 \times 1.4) = 1.4^2 \times 1.4^2
\]
\[
1.4^2 = 1.96
\]
\[
1.4^4 = 1.96 \times 1.96 = 3.8416
\]

2. Now plug this value back into the expression:
\[
R(4) = 3000 - 500 \times 3.8416
\]

3. Calculate \( 500 \times 3.8416 \):
\[
500 \times 3.8416 = 1920.8
\]

4. Finally, calculate \( R(4) \):
\[
R(4) = 3000 - 1920.8 = 1079.2
\]

Thus, the value of \( R(4) \) is approximately **1079.2**.